Draw a circle that is perfectly inscribed inside an equilateral triangle as shown. You may want to use some math skills in solving this problem.
Draw a circle that is perfectly inscribed inside an equilateral triangle as shown. You may want to use some math skills in solving this problem.
Write a Python program to generate hundreds of images of Julia Set with ever zooming ranges. Please note that Turtle is not used in this project for speed consideration. Then
Generalize the three overlapping circles project by letting it draw any number of overlapping circles. The following is the overlapping circles from size 2 to size 7. Solution
Draw the following overlapping circles. Please note that each circle passes through the center of the other two circles. Solution We observe that the centers of the three circles form
In this project, we are generate several Julia Sets by varying the constant c in the normal Julia Set function. Turtle will be too slow to do this work. Instead
In this project, we are going to animate the Julia Set by varying the constant c in the normal Julia Set function. Turtle will be too slow to do this
Use recursion to draw the following snowflake shape generated from 6 sub-fractals of splitting lines. The following figures show recursion depths ranging from 0 to 4. Solution: To solve this
Lori Gardi created this nested overlapping circle fractal in the paper ‘The Universe is a Fractal’. The fractal according to the paper looks similar to a supernova. A simple version
In a previous project, we drew a star fractal with recursion. A tutorial and source code were provided in that project. Based on the code, draw the following colorful star
In a previous project, we drew a star fractal with recursion. A tutorial and source code were provided in that project. Based on the code, draw the following colorful star